Math, asked by sugandhavish97, 8 hours ago

Please answer it and help me​

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Answered by sudhanjanan9cpal
1

Answer:

398

Step-by-step explanation:

x+1/x=20

then the hole cube =x^2+1/x^2+2

now hole cube = (20*20)-2 is the answer

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Answered by SorkoZom
1

\\\bigstar\large\;\sf\textcolor{pink}{Given:-}\\

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\qquad\quad\bull\quad\sf{\bigg(x+\dfrac{1}{x}\bigg)=20}

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Squaring on both sides :-

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:\implies\sf{\bigg(x+\dfrac{1}{x}\bigg)^2=(20)^2}\\\\\\\\:\implies\sf{x^2+\bigg(\dfrac{1}{x}\bigg)^2+2(x)\bigg(\dfrac{1}{x}\bigg)=400}\\\\\\\\:\implies\sf{x^2+\dfrac{1}{x^2}+2=400}\\\\\\\\:\implies\sf{\bigg(x^2+\dfrac{1}{x^2}\bigg)=400-2}\\\\\\\\:\implies\underline{\boxed{\frak{\textcolor{lavender}{\bigg(x^2+\dfrac{1}{x^2}\bigg)=398}}}}\;\bigstar

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Identity used :-

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  • (a + b)² = a² + b² + 2ab

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